\(L\)-functions of second-order cusp forms

DOI10.1007/S11139-006-0147-2zbMath1198.11048OpenAlexW1968553702MaRDI QIDQ874903

Nikolaos Diamantis, Geoffrey Mason, Marvin Isadore Knopp, Cormac O'Sullivan

Publication date: 10 April 2007

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-0147-2

zbMATH Keywords

cusp formsconverse theoremssecond-order automorphic forms

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (12)

Secord-order cusp forms and mixed mock modular forms ⋮ DISSOLVING OF CUSP FORMS: HIGHER‐ORDER FERMI'S GOLDEN RULES ⋮ Invariants, cohomology, and automorphic forms of higher order ⋮ Converse theorems assuming a partial Euler product ⋮ Higher order invariants in the case of compact quotients ⋮ The classification of higher-order cusp forms ⋮ The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology ⋮ Liftable mapping class groups of regular cyclic covers ⋮ Special values of multiple Hecke \(L\)-functions ⋮ Higher order group cohomology and the Eichler-Shimura map ⋮ Unipotent vector bundles and higher-order non-holomorphic Eisenstein series ⋮ Sign changes of coefficients of certain Dirichlet series

Cites Work

• Crossing probabilities and modular forms
• Modular Forms for Γ 0 (N) and Dirichlet Series
• Second order modular forms
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